Pith Number

pith:C323AZII

pith:2012:C323AZII26PO3CL5NZH4XQD3EI

not attested not anchored not stored refs pending

Covariance of Replicated Modulated Cyclical Time Series

Hernando Ombao, Sofia C. Olhede

arxiv:1206.1955 v2 · 2012-06-09 · stat.ME · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C323AZII26PO3CL5NZH4XQD3EI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:42:32.010518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f5b06508d79eed897d6e4fcbc07b2200cfc774d8dc39ca20b6d9a4e4e8a7ce

Aliases

arxiv: 1206.1955 · arxiv_version: 1206.1955v2 · doi: 10.48550/arxiv.1206.1955 · pith_short_12: C323AZII26PO · pith_short_16: C323AZII26PO3CL5 · pith_short_8: C323AZII

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C323AZII26PO3CL5NZH4XQD3EI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 16f5b06508d79eed897d6e4fcbc07b2200cfc774d8dc39ca20b6d9a4e4e8a7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "807cd911b9feda2c1d1a3bd400a43854fb27b862983f35ba032c71ddd33a30a4",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-06-09T16:42:57Z",
    "title_canon_sha256": "510cd083e26f5d297e830331242197c91b9e559c566251f0edb0727cefff995a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1955",
    "kind": "arxiv",
    "version": 2
  }
}